2y+x=14;3y=9x-42

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Remember to put linear equations with variables x and y.
for example:
2x+y=8
x+3y=14

Solution for 2y+x=14;3y=9x-42 system of equations: 


  • /| x+2*y-14 = 0| 3*y-(9*x)+42 = 0
  • We try to solve the equation: x+2*y-14 = 0
  • x+2*y-14 = 0 // - x-14
  • 2*y = -(x-14) // : 2
  • y = (-(x-14))/2
  • y = (14-x)/2
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 3*((14-x)/2)-(9*x)+42 = 0| y = (14-x)/2
  • (3*(14-x))/2-9*x+42 = 0
  • 21-21/2*x+42 = 0
  • 63-21/2*x = 0
  • 63-21/2*x = 0 // - 63
  • -21/2*x = -63 // : -21/2
  • x = -63/(-21/2)
  • x = 6
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (14-x)/2: 
  • y = (14-6)/2
  • y = 8/2
  • y = 4
  • We get a system of equations:
  • /| y = 4| x = 6

 

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